Results 151 to 160 of about 494 (181)
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Existence of Nonoscillatory Solutions for Fractional Functional Differential Equations
Bulletin of the Malaysian Mathematical Sciences Society, 2017zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zhou, Yong +2 more
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On Existence of Nonoscillatory Solutions to Quasilinear Differential Equations
gmj, 2007Abstract Sufficient conditions are established for the existence of nonoscillatory solutions to a quasilinear ordinary differential equation of higher order. For the equation with a positive potential, a criterion is established for the existence of nonoscillatory solutions with nonzero limit at infinity.
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NONOSCILLATORY SOLUTIONS FOR EMDEN-FOWLER TYPE DIFFERENCE EQUATIONS
Difference Equations, Special Functions and Orthogonal Polynomials, 2007Using certain summation inequalities, the coexistence of various types of nonoscillatory solutions for an Emden-Fowler type difference equation is investigated. Discrepancies between discrete and continuous cases are pointed out as well.
CECCHI, MARIELLA +3 more
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Nonoscillatory solutions of a second-order nonlinear discrete system
Applied Mathematics and Computation, 2007The paper deals with the coupled nonlinear difference system \[ \begin{cases}\Delta(\Phi_{\alpha}(\Delta x_k))=-\varphi_k f(y_{k+1}),\\ \Delta(\Phi_{\beta}(\Delta y_k))=\psi_k g(x_{k+1}),\end{cases}\leqno(S) \] where \(\Delta\) is the forward operator defined by \(\Delta x_k=x_{k+1}-x_k\), \(\Phi_{\lambda}(u)=| u| ^{\lambda-1}\text{sgn} \,u\), with ...
Serena Matucci, Pavel Rehák
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Nonoscillatory bounded solutions of neutral differential systems
Nonlinear Analysis: Theory, Methods & Applications, 2008The authors investigate the existence of a nonoscillatory bounded solution to a nonlinear neutral differential system.
Hanuštiaková, Ľubica, Olach, Rudolf
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On nonoscillatory solutions of differential equations with \(p\)-Laplacian
2001The paper is concerned with some boundary value problems associated to the nonlinear differential equation of the form \[ (a(t)\Phi_p(x'))'=b(t)f(x) \] with \(\Phi_p(u)=|u|^{p-2}u\), \(p>1\). All continuable solutions to the equations considered are classified into disjoint subsets which are fully characterized in terms of certain integral conditions.
M. CECCHI, Z. DOSLA, MARINI, MAURO
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Nonoscillatory solutions of fourth order quasilinear differential equations.
Funkcialaj Ekvacioj, 2002zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Nonoscillatory solutions for system of neutral delay equation
Nonlinear Analysis: Theory, Methods & Applications, 2003The authors consider the following system of neutral differential equations \[ {d\over dt} (x(t)+ px(t- \tau))+ Q(t) x(t-\sigma)= 0,\tag{1} \] where \(p\in\mathbb{R}\), \(x\in\mathbb{R}^n\) and \(\tau\in (0,\infty)\), \(\sigma\in [0,\infty)\), \(Q\) is a continuous \(n\times n\)-matrix on \([t_0,\infty)\).
El-Metwally, H. +2 more
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Types and criteria of nonoscillatory solutions for some second order
Acta Mathematicae Applicatae Sinica, 1987The author considers functional differential equations of the form \[ | r(t)[x(t)-cx(t-\tau)]')'+\int^{b}_{a}p(t,\xi)\times [g(t,\xi)]d\sigma (\quad \xi)=0 \] where \(\tau >0\), \(0\leq c0\), and \(r(t)>0\). For both \(\int^{+\infty}ds/r(s)=+\infty\) and \(\int^{+\infty}ds/r(s)
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